71,201,644

2² × 17 × 131 × 7993

71,201,644 factors as 2^2 × 17 × 131 × 7993. Its 24 positive divisors give a proper-divisor sum of 61,754,564, so this integer is deficient. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 131 × 7993

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 132,956,208

Proper Divisor Sum 61,754,564

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #71201623 ← → #71201671

Radix Representation

Decimal	71201644
Binary	100001111100111001101101100 (27 bits)
Octal	0o417471554
Hexadecimal	0x43E736C

Divisor Catalog (24)

Collatz Trajectory (122 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

71,201,644 35,600,822 17,800,411 53,401,234 26,700,617 80,101,852 40,050,926 20,025,463 60,076,390 30,038,195 90,114,586 45,057,293 135,171,880 67,585,940 33,792,970 16,896,485 50,689,456 25,344,728 12,672,364 6,336,182 3,168,091 9,504,274 4,752,137 14,256,412 7,128,206 3,564,103 10,692,310 5,346,155 16,038,466 8,019,233 24,057,700 12,028,850 6,014,425 18,043,276 9,021,638 4,510,819 13,532,458 6,766,229 20,298,688 10,149,344 5,074,672 2,537,336 1,268,668 634,334 317,167 951,502 475,751 1,427,254 713,627 2,140,882 1,070,441 3,211,324 1,605,662 802,831 2,408,494 1,204,247 3,612,742 1,806,371 5,419,114 2,709,557

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